A quasi F-test for functional linear models with functional covariates and its application to longitudinal data

Hongquan Xu, Qing Shen, Xiaowei Yang, Steven Shoptaw

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

Functional linear models are useful in analyzing data from designed experiments and observational studies with functional responses, as well as longitudinal data with a large number of repeated measures on each subject. We propose a quasi F-test for functional linear models with functional covariates and outcomes. We develop a numerical procedure and an efficient approximation for computing p-values, and present a simple way to test individual predictors. For illustration, we apply the proposed procedure to a longitudinal depression data set with repeatedly measured methamphetamine use as a predictor. We conduct a simulation study to assess the size and the power of the test.

Original languageEnglish (US)
Pages (from-to)2842-2853
Number of pages12
JournalStatistics in Medicine
Volume30
Issue number23
DOIs
StatePublished - Oct 15 2011

Keywords

  • Chi-squared approximation
  • F-test
  • Functional regression analysis
  • Functionaldata analysis
  • Longitudinal dataanalysis

ASJC Scopus subject areas

  • Epidemiology
  • Statistics and Probability

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